MINES ParisTech CAS - Centre automatique et systèmes

Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator

Authors: Rémi Azouit, Alain Sarlette, Pierre Rouchon, CDC 2015, Dec 15-18, 2015
We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.
Download PDF
BibTeX:
@Proceedings{2015-12-16,
author = {Rémi Azouit, Alain Sarlette, Pierre Rouchon},
editor = {},
title = {Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator},
booktitle = {CDC 2015},
volume = {},
publisher = {},
address = {},
pages = {},
year = {2015},
abstract = {We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.},
keywords = {}}
= "r";var _rwObsfuscatedHref = _rwObsfuscatedHref0+_rwObsfuscatedHref1+_rwObsfuscatedHref2+_rwObsfuscatedHref3+_rwObsfuscatedHref4+_rwObsfuscatedHref5+_rwObsfuscatedHref6+_rwObsfuscatedHref7+_rwObsfuscatedHref8+_rwObsfuscatedHref9+_rwObsfuscatedHref10+_rwObsfuscatedHref11+_rwObsfuscatedHref12+_rwObsfuscatedHref13+_rwObsfuscatedHref14; document.getElementById("rw_email_contact").href = _rwObsfuscatedHref;